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The ongoing pandemic of Coronavirus disease has already affected more than 300,000 people. In this study, we propose an appropriate auto-regressive integrated moving-average model with time-varying parameters to analyze the trend pattern of the early incidence of COVID-19 outbreak, and subsequently, estimate the basic reproduction numberfor different countries. We also incorporate information on total or partial lockdown into the model. The model is concise and flexible in structure. Forwe use the maximum likelihood method and estimate it for different serial interval distributions. Proper diagnostic measures establish that a time-varying quadratic trend successfully captures the incidence pattern of the disease. We find that the number of affected cases starts increasing more rapidly three to four weeks after the first case is identified. Countrywide lockdown has been effective in reducing the growth rate of the disease in Italy. Estimatedof the 2019 novel Coronavirus ranges between 1.4 and 3.2 in different countries, except for the United States where it is higher. A much-needed outcome is that the method gives insight into what epidemiological stage a region is in. This has the potential to help in prompting policies to address the COVID-19 pandemic in different countries.

A quadratic trend-based time series method to analyze the early incidence pattern of COVID-19